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Lobachevskiy Institute of Mathematics and Mechanics, Kazan Federal University, Kazan, Russia
10.22124/jmm.2025.29691.2646
Abstract
Here we construct an approximate spline-interpolation solution of the Cauchy problem for the Laplace equation. Our construction describes two different methods based on solution of integral equations. The first method involves singular integral equation, and the second one is based on solution of a Fredholm equation. We present the linear and the polynomial examples clarifying the construction approaches.
Ivanshin, P. and Shirokova, E. (2025). Spline-interpolation solution of Cauchy problem for a harmonic function in a simply connected 3D domain. Journal of Mathematical Modeling, (), -. doi: 10.22124/jmm.2025.29691.2646
MLA
Ivanshin, P. , and Shirokova, E. . "Spline-interpolation solution of Cauchy problem for a harmonic function in a simply connected 3D domain", Journal of Mathematical Modeling, , , 2025, -. doi: 10.22124/jmm.2025.29691.2646
HARVARD
Ivanshin, P., Shirokova, E. (2025). 'Spline-interpolation solution of Cauchy problem for a harmonic function in a simply connected 3D domain', Journal of Mathematical Modeling, (), pp. -. doi: 10.22124/jmm.2025.29691.2646
CHICAGO
P. Ivanshin and E. Shirokova, "Spline-interpolation solution of Cauchy problem for a harmonic function in a simply connected 3D domain," Journal of Mathematical Modeling, (2025): -, doi: 10.22124/jmm.2025.29691.2646
VANCOUVER
Ivanshin, P., Shirokova, E. Spline-interpolation solution of Cauchy problem for a harmonic function in a simply connected 3D domain. Journal of Mathematical Modeling, 2025; (): -. doi: 10.22124/jmm.2025.29691.2646
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